consider a circular road of radius 20 meter banked at an angle of 15°with what speed the car has to move so that it will have a safe turn
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Radius of circular path = 20m
Angle of banking = 15°
We have to find maximum safe speed of the car
★ Banking of tracks (roads) : The maximum velocity with which a vehicle (in the absence of friction) can negotiate a circular road of radius r and baked at an angle θ is given by
- v²= rg tanθ
By substituting the given values,
➝ v² = 20 × 10 × tan15°
➝ v² = 200 × 0.27
➝ v = √54
➝ v = 7.35 m/s
★ Know more :
A vehie taking a circular turn on a level road. If μ is the coefficient of friction b/w thres and road, then the maximum velocity with which the vehicle can safely take a circular turn at radius r is given by
- v = √(μ r g)
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